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Find the $y$ -intercept of the line $y = \frac{4}{9}x + 15$ . Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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Slope-intercept form: find the slope and y-intercept

Full solution

Q. Find the

y

-intercept of the line

y = \frac{4}{9}x + 15

. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Definition of y-intercept: The y-intercept of a line in the slope-intercept form $y = mx + b$ is the value of $b$ , where the line crosses the y-axis.
Given equation in slope-intercept form: The equation of the line is given in slope-intercept form: $y = \frac{4}{9}x + 15$ . Here, $m$ represents the slope, and $b$ represents the y-intercept.
Identifying the constant term: To find the y-intercept, we identify the value of $b$ in the equation. In this case, $b$ is the constant term, which is $15$ .
Conclusion of y-intercept value: Since the y-intercept is simply the constant term in the equation, we conclude that the y-intercept of the line $y = \frac{4}{9}x + 15$ is $15$ .

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